A generalization of Bruckner-Petruska-Preiss-Thomson theorem (in Ukrainian) |
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| Author |
Faculty of Mechanics and Mathematics, Yuriy Fedkovych Chernivtsi National University
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| Abstract |
It is shown that for every real vector space $X$, $Y$ and $Z$ and subspace
$L$ conjugate space of $Z$, separeting points in $Z$, every separetely
$L$-differential mapping, which has in every point $p\in X\times Y$ at
least one of the~$L$-partials $D_1f(p)$ or $D_2f(p)$ equal to zero,
depends only on one variable.
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| Keywords |
real vector spaces, conjugate space, separating points
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| DOI |
doi:10.30970/ms.11.1.48-52
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Reference |
1. Bruckner A.M., Petruska G., Preiss D., Thomson B.S. The equation $ u_{x}u_{y} = 0$ factors Acta Math. Hung.-- 1991.-- V.57, 194 3--4.-- P.275--278.
2. Маслюченко В.К. Одно свойство частных производных Укр. мат. журн.– 1987.– T.39, 194 4.– С.529–531. |
| Pages |
48-52
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| Volume |
11
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| Issue |
1
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| Year |
1998
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| Journal |
Matematychni Studii
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| Full text of paper | |
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